24=b(b-5)

Solution for 24=b(b-5) equation:

Simplifying
24 = b(b + -5)

Reorder the terms:
24 = b(-5 + b)
24 = (-5 * b + b * b)
24 = (-5b + b2)

Solving
24 = -5b + b2

Solving for variable 'b'.

Reorder the terms:
24 + 5b + -1b2 = -5b + 5b + b2 + -1b2

Combine like terms: -5b + 5b = 0
24 + 5b + -1b2 = 0 + b2 + -1b2
24 + 5b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
24 + 5b + -1b2 = 0

Factor a trinomial.
(8 + -1b)(3 + b) = 0

Subproblem 1
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Solution
b = {8, -3}